> For example, if cell G(1,1) is active for a location on an object, a movement > one step to the right will cause G(2,1) to become active. Since the cells > tile space, an additional movement one step to the right will cause G(0,1) to > become active.
 The supplementary material covers single step movements. In the Grid cell module in the **Figure A** when the cell G(1,1) is active a single step movement can be 1 step to the "left", "right", "up", "down", "left-up", "left-down", "right-up", "right-down" (diagonally) or "none" (same place but 1 step through time). All these count for 9 relative displacements of 1 step. That's why there are 9 Displacement cells representing them in the Displacement module.  **Figure B** shows that independent of which cell performs the 1 step to the right movement D(1,0) will represent the displacement. The formula in the supplementary material for calculating which displacement cell will become active is: G(x1,y1) --> G(x2,y2): D((x2-x1) mod 3, (y2-y1) mod 3) Testing with 1 step to the right: G(0,1) --> G(1,1): D(1 mod 3, 0 mod 3) = D(1,0) G(1,1) --> G(2,1): D(1 mod 3, 0 mod 3) = D(1,0) G(2,1) --> G(0,1): D(-2 mod 3, 0 mod 3) = D(1,0) Testing with 2 steps to the right: G(0,1) --> G(2,1): D(2 mod 3, 0 mod 3) = D(2,0) But D(2,0) is representing 1 step to the left. >From G(0,1) 1 step to the left or 2 steps to the right will both land on >G(2,1) but the displacement is different. Questions: 1. Can there be displacement cells representing 2,3,n steps? 2. Is this problem solved more elegantly by combining grid+displacement cells made to work on a different scale? 4. Is it done by extending the capabilities of displacement cells by changing the anatomy to different types of cells like conjunctive cells? --- [Visit Topic](https://discourse.numenta.org/t/questions-on-displacement-cells-activation/5439/1) or reply to this email to respond. You are receiving this because you enabled mailing list mode. To unsubscribe from these emails, [click here](https://discourse.numenta.org/email/unsubscribe/8b39aba87bc8e8a5ab43027024f608ec20ff3c47902c64dcfdcce0cb3d404b71).
